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Finding the Fourth Proportional to 565.61, 848.45 and 200.42

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Solution

The fourth proportional to 565.61, 848.45 and 200.42 is: 300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.61 : 848.45 = 200.42 : x
  2. Step 2: Convert to fraction form
    565.61/848.45 = 200.42/x
  3. Step 3: Cross multiply
    565.61x = 848.45 × 200.42
  4. Step 4: Simplify right side
    565.61x = 170,046.35
  5. Step 5: Solve for x
    x = 170,046.35/565.61
  6. Step 6: Final answer
    x = 300.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.